Question

A linear function contains the following points.
what are the slope and the y- intercept?

Answer 1

Since

• The slope is 1/4.

• The y-intercept is (0, 3)

Therefore, option (A) is true.

Explanation:

Determining the slope

Given the points

• (-8, 1)

• (0, 3)

Finding the slope between the points (-8, 1) and (0, 3)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(-8,\:1\right),\:\left(x_2,\:y_2\right)=\left(0,\:3\right)`

`m=(3-1)/(0-\left(-8\right))`

`m=(1)/(4)`

Thus, the slope is 1/4.

Determining the y-intercept

We know that the value of y-intercept can be computed by setting the value x= 0 and determining the corresponding value of y.

From the table, it is clear that

at x=0, y = 3

Thus, the y-intercept is (0, 3)

Since

• The slope is 1/4.

• The y-intercept is (0, 3)

Therefore, option (A) is true.